Subgroups — #14247129

Order 1792.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3516	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743240	C₂	1	1	yes	maximal, characteristic, complemented
3	#11741136	C₂	1	1	yes	maximal, characteristic, complemented
4	#11741135	C₂	1	1	yes	maximal, characteristic, complemented
5	#11741117	C₂	1	1	yes	maximal, characteristic, complemented
6	#11741116	C₂	1	1	yes	maximal, characteristic, complemented
7	#11741080	C₂	1	1	yes	maximal, characteristic, complemented
8	#11741079	C₂	1	1	yes	maximal, characteristic, complemented
9	#11741061	C₂	1	1	yes	maximal, characteristic, complemented
10	#11741059	C₂	1	1	yes	maximal, characteristic, complemented
11	#11741049	C₂	1	1	yes	maximal, characteristic, complemented
12	#11741044	C₂	1	1	yes	maximal, characteristic, complemented
13	D₄×#1143	C₂	1	1	yes	maximal, characteristic, complemented
14	#11741004	C₂	1	1	yes	maximal, characteristic, complemented
15	#11740992	C₂	1	1	yes	maximal, characteristic, complemented
16	#11740990	C₂	1	1	yes	maximal, characteristic, complemented
17	#11740987	C₂	1	1	yes	maximal, characteristic, complemented
18	#11740987	C₂	1	1	yes	maximal, characteristic, complemented
19	#11740910	C₂	1	1	yes	maximal, characteristic, complemented
20	#11740908	C₂	1	1	yes	maximal, characteristic, complemented
21	#11740895	C₂	1	1	yes	maximal, characteristic, complemented
22	#11740893	C₂	1	1	yes	maximal, characteristic, complemented
23	#11740594	C₂	1	1	yes	maximal, characteristic, complemented
24	#11740591	C₂	1	1	yes	maximal, characteristic, complemented
25	#11740575	C₂	1	1	yes	maximal, characteristic, complemented
26	#11740013	C₂	1	1	yes	maximal, characteristic, complemented
27	#11740010	C₂	1	1	yes	maximal, characteristic, complemented
28	#11739998	C₂	1	1	yes	maximal, characteristic, complemented
29	#11739996	C₂	1	1	yes	maximal, characteristic, complemented
30	#11739890	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#89799	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#557	C₂²	1	1	yes	characteristic, complemented
33	C₇×#556	—	2	1	no	—
34	C₇×#556	C₂²	1	1	yes	characteristic, complemented
35	C₇×#554	—	2	1	no	—
36	C₇×#554	C₂²	1	1	yes	characteristic, complemented
37	C₇×#553	—	2	1	no	—
38	C₇×#553	C₂²	1	1	yes	characteristic, complemented
39	C₇×#552	—	2	1	no	—
40	C₇×#552	C₂²	1	1	yes	characteristic, complemented
41	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
42	C₇×#548	C₂²	1	1	yes	characteristic, complemented
43	C₇×#548	C₂²	1	1	yes	characteristic, complemented
44	C₇×#542	—	2	1	no	—
45	C₇×#542	C₂²	1	1	yes	characteristic, complemented
46	C₇×#541	—	2	1	no	—
47	C₇×#541	C₂²	1	1	yes	characteristic, complemented
48	C₇×#529	—	2	1	no	—
49	C₇×#529	—	2	1	no	—
50	C₇×#529	C₂²	1	1	yes	characteristic
51	C₇×#529	C₂²	1	1	yes	characteristic, complemented
52	C₇×#520	C₂²	1	1	yes	characteristic, complemented
53	C₇×#519	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₂×#6513	C₂²	1	1	yes	characteristic, complemented
56	C₂×#6512	C₂²	1	1	yes	characteristic, complemented
57	C₂×#6505	C₂²	1	1	yes	characteristic, complemented
58	C₂²×#1143	C₂²	1	1	yes	characteristic, complemented
59	C₂²×#1143	C₂²	1	1	yes	characteristic, complemented
60	C₂²×#1143	C₂²	1	1	yes	characteristic, complemented
61	#90402	—	2	1	no	—
62	#90402	—	2	1	no	—
63	#90389	—	2	1	no	—
64	#90365	—	2	1	no	—
65	#90344	—	2	1	no	—
66	#90344	—	2	1	no	—
67	#90321	—	2	1	no	—
68	#90300	—	2	1	no	—
69	#90276	C₂²	1	1	yes	characteristic
70	#90268	C₂²	1	1	yes	characteristic
71	#90244	C₂²	1	1	yes	characteristic
72	#90241	C₂²	1	1	yes	characteristic
73	#90241	C₂²	1	1	yes	characteristic
74	D₄×D₂₈	C₂²	1	1	yes	characteristic
75	D₄×D₂₈	C₂²	1	1	yes	characteristic
76	D₄×D₂₈	C₂²	1	1	yes	characteristic
77	#90226	C₂²	1	1	yes	characteristic
78	#90226	C₂²	1	1	yes	characteristic
79	#90216	C₂²	1	1	yes	characteristic
80	#90216	C₂²	1	1	yes	characteristic
81	#90170	C₂²	1	1	yes	characteristic
82	C₂×#6437	C₂²	1	1	yes	characteristic
83	#90010	C₂²	1	1	yes	characteristic, complemented
84	#90010	C₂²	1	1	yes	characteristic, complemented
85	#90000	C₂²	1	1	yes	characteristic, complemented
86	#89999	C₂²	1	1	yes	characteristic
87	#89999	C₂²	1	1	yes	characteristic, complemented
88	#89999	C₂²	1	1	yes	characteristic, complemented
89	#89861	C₂²	1	1	yes	characteristic, complemented
90	#89860	C₂²	1	1	yes	characteristic, complemented
91	#89859	C₂²	1	1	yes	characteristic, complemented
92	#89858	C₂²	1	1	yes	characteristic, complemented
93	#89857	C₂²	1	1	yes	characteristic, complemented
94	#89856	C₂²	1	1	yes	characteristic, complemented
95	#89855	C₂²	1	1	yes	characteristic, complemented
96	#89855	C₂²	1	1	yes	characteristic, complemented
97	#89840	C₂²	1	1	yes	characteristic, complemented
98	#89839	C₂²	1	1	yes	characteristic
99	#89839	C₂²	1	1	yes	characteristic, complemented
100	#89839	C₂²	1	1	yes	characteristic, complemented
101	#89838	C₂²	1	1	yes	characteristic, complemented
102	#89838	C₂²	1	1	yes	characteristic, complemented
103	#89838	C₂²	1	1	yes	characteristic, complemented
104	#89835	C₂²	1	1	yes	characteristic, complemented
105	#89831	C₂²	1	1	yes	characteristic, complemented
106	#89830	C₂²	1	1	yes	characteristic
107	#89830	C₂²	1	1	yes	characteristic, complemented
108	#89830	C₂²	1	1	yes	characteristic, complemented
109	#89829	C₂²	1	1	yes	characteristic, complemented
110	#89829	C₂²	1	1	yes	characteristic, complemented
111	#89829	C₂²	1	1	yes	characteristic, complemented
112	#89826	C₂²	1	1	yes	characteristic, complemented
113	#89823	C₂²	1	1	yes	characteristic, complemented
114	#89821	C₂²	1	1	yes	characteristic, complemented
115	#89821	C₂²	1	1	yes	characteristic, complemented
116	#89821	C₂²	1	1	yes	characteristic, complemented
117	#89820	C₂²	1	1	yes	characteristic
118	#89820	C₂²	1	1	yes	characteristic, complemented
119	#89820	C₂²	1	1	yes	characteristic, complemented
120	#89820	C₂²	1	1	yes	characteristic, complemented
121	#89819	C₂²	1	1	yes	characteristic, complemented
122	#89819	C₂²	1	1	yes	characteristic, complemented
123	#89819	C₂²	1	1	yes	characteristic, complemented
124	#89818	C₂²	1	1	yes	characteristic, complemented
125	#89818	C₂²	1	1	yes	characteristic, complemented
126	#89818	C₂²	1	1	yes	characteristic, complemented
127	#89818	C₂²	1	1	yes	characteristic, complemented
128	#89818	C₂²	1	1	yes	characteristic, complemented
129	#89813	C₂²	1	1	yes	characteristic, complemented
130	#89811	C₂²	1	1	yes	characteristic, complemented
131	#89810	C₂²	1	1	yes	characteristic
132	#89810	C₂²	1	1	yes	characteristic, complemented
133	#89809	C₂²	1	1	yes	characteristic, complemented
134	#89808	C₂²	1	1	yes	characteristic, complemented
135	#89808	C₂²	1	1	yes	characteristic, complemented
136	#89808	C₂²	1	1	yes	characteristic, complemented
137	#89802	C₂²	1	1	yes	characteristic, complemented
138	#89802	C₂²	1	1	yes	characteristic, complemented
139	#89800	C₂²	1	1	yes	characteristic, complemented
140	#89800	C₂²	1	1	yes	characteristic, complemented
141	#89800	C₂²	1	1	yes	characteristic, complemented
142	#89800	C₂²	1	1	yes	characteristic, complemented
143	#89800	C₂²	1	1	yes	characteristic, complemented
144	#89800	C₂²	1	1	yes	characteristic, complemented
145	#89799	C₂²	1	1	yes	characteristic
146	#89799	C₂²	1	1	yes	characteristic
147	#89799	C₂²	1	1	yes	characteristic, complemented
148	#89799	C₂²	1	1	yes	characteristic, complemented
149	#89799	C₂²	1	1	yes	characteristic, complemented
150	#89799	C₂²	1	1	yes	characteristic, complemented
151	#89799	C₂²	1	1	yes	characteristic, complemented
152	#89799	C₂²	1	1	yes	characteristic, complemented
153	#89799	C₂²	1	1	yes	characteristic, complemented
154	#89799	C₂²	1	1	yes	characteristic, complemented
155	#89799	C₂²	1	1	yes	characteristic, complemented
156	#89799	C₂²	1	1	yes	characteristic, complemented
157	#89799	C₂²	1	1	yes	characteristic, complemented
158	#89798	C₂²	1	1	yes	characteristic, complemented
159	#89798	C₂²	1	1	yes	characteristic, complemented
160	#89798	C₂²	1	1	yes	characteristic, complemented
161	#89798	C₂²	1	1	yes	characteristic, complemented
162	#89798	C₂²	1	1	yes	characteristic, complemented
163	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
164	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
165	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
166	#89796	C₂²	1	1	yes	characteristic, complemented
167	#89796	C₂²	1	1	yes	characteristic, complemented
168	#89794	C₂²	1	1	yes	characteristic, complemented
169	#89794	C₂²	1	1	yes	characteristic, complemented
170	#89794	C₂²	1	1	yes	characteristic, complemented
171	#89788	C₂²	1	1	yes	characteristic, complemented
172	#89788	C₂²	1	1	yes	characteristic, complemented
173	#89787	C₂²	1	1	yes	characteristic, complemented
174	#89787	C₂²	1	1	yes	characteristic, complemented
175	#89787	C₂²	1	1	yes	characteristic, complemented
176	#89786	C₂²	1	1	yes	characteristic, complemented
177	C₄×#1141	C₂²	1	1	yes	characteristic, complemented
178	#89783	C₂²	1	1	yes	characteristic, complemented
179	#89783	C₂²	1	1	yes	characteristic, complemented
180	#89783	C₂²	1	1	yes	characteristic, complemented
181	#89783	C₂²	1	1	yes	characteristic, complemented
182	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
183	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
184	#89781	C₂²	1	1	yes	characteristic, complemented
185	#89775	C₂²	1	1	yes	characteristic, complemented
186	#89775	C₂²	1	1	yes	characteristic, complemented
187	#89774	C₂²	1	1	yes	characteristic, complemented
188	#89773	C₂²	1	1	yes	characteristic, complemented
189	#89772	C₂²	1	1	yes	characteristic, complemented
190	#89772	C₂²	1	1	yes	characteristic, complemented
191	#89771	C₂²	1	1	yes	characteristic, complemented
192	#89771	C₂²	1	1	yes	characteristic, complemented
193	#89742	C₂²	1	1	yes	characteristic, complemented
194	#89740	C₂²	1	1	yes	characteristic
195	#89740	C₂²	1	1	yes	characteristic, complemented
196	#89739	C₂²	1	1	yes	characteristic, complemented
197	#89738	C₂²	1	1	yes	characteristic, complemented
198	C₂×#6383	C₂²	1	1	yes	characteristic, complemented
199	C₂×#6383	C₂²	1	1	yes	characteristic, complemented
200	C₂×#6383	C₂²	1	1	yes	characteristic, complemented
201	#89698	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄⋊(C₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
203	#62009	—	7	1	no	maximal, Sylow
204	C₂×C₇×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
206	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
207	C₂×#1161	—	2	1	no	—
208	C₂×D₄×D₇	—	2	1	no	—
209	C₂×D₄×D₇	—	2	1	no	—
210	C₂×D₄×D₇	—	2	1	no	—
211	C₂×#1157	C₂³	1	1	yes	characteristic
212	C₂×#1157	C₂³	1	1	yes	characteristic
213	C₂²×D₂₈	—	2	1	no	—
214	C₂²×D₂₈	—	2	1	no	—
215	C₂²×D₂₈	C₂³	1	1	yes	characteristic
216	C₂²×D₂₈	C₂³	1	1	yes	characteristic
217	C₂²×D₂₈	C₂³	1	1	yes	characteristic
218	C₂²×D₂₈	C₂³	1	1	yes	characteristic
219	C₇×C₄⋊Q₈	—	2	1	no	—
220	C₇×C₄⋊Q₈	—	2	1	no	—
221	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
222	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
223	C₇×#126	—	2	1	no	—
224	C₇×#126	—	2	1	no	—
225	C₇×#126	—	2	1	no	—
226	C₇×#126	—	2	1	no	—
227	C₇×#126	—	2	1	no	—
228	C₇×#126	—	2	1	no	—
229	C₇×#126	—	2	1	no	—
230	C₇×#126	—	2	1	no	—
231	C₇×#126	D₄	1	1	yes	characteristic
232	C₇×#126	D₄	1	1	yes	characteristic
233	C₇×#125	—	2	1	no	—
234	C₇×#125	—	2	1	no	—
235	C₇×#125	—	2	1	no	—
236	C₇×#125	—	2	1	no	—
237	C₇×#125	—	2	1	no	—
238	C₇×#125	—	2	1	no	—
239	C₇×#125	D₄	1	1	yes	characteristic
240	C₇×#125	C₂³	1	1	yes	characteristic
241	C₇×#125	C₂³	1	1	yes	characteristic
242	C₇×#124	—	2	1	no	—
243	C₇×#124	—	2	1	no	—
244	C₇×#124	—	2	1	no	—
245	C₇×#124	D₄	1	1	yes	characteristic
246	C₇×#124	C₂³	1	1	yes	characteristic
247	C₇×#124	C₂³	1	1	yes	characteristic
248	C₇×#123	—	2	1	no	—
249	C₇×#123	—	2	1	no	—
250	C₇×#123	—	2	1	no	—
251	C₇×#123	—	2	1	no	—
252	C₇×#123	D₄	1	1	yes	characteristic
253	C₇×#123	D₄	1	1	yes	characteristic
254	C₇×C₂²⋊Q₈	—	2	1	no	—
255	C₇×C₂²⋊Q₈	—	2	1	no	—
256	C₇×C₂²⋊Q₈	—	2	1	no	—
257	C₇×C₂²⋊Q₈	—	2	1	no	—
258	C₇×C₂²⋊Q₈	—	2	1	no	—
259	C₇×C₂²⋊Q₈	—	2	1	no	—
260	C₇×C₂²⋊Q₈	—	2	1	no	—
261	C₇×C₂²⋊Q₈	—	2	1	no	—
262	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
263	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
264	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
265	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
266	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
267	C₇×#121	—	2	1	no	—
268	C₇×#121	—	2	1	no	—
269	C₇×#121	—	2	1	no	—
270	C₇×#121	D₄	1	1	yes	characteristic
271	C₇×#121	C₂³	1	1	yes	characteristic
272	C₇×#121	C₂³	1	1	yes	characteristic
273	C₄×C₇×Q₈	—	2	1	no	—
274	C₄×C₇×Q₈	—	2	1	no	—
275	C₄×C₇×Q₈	—	2	1	no	—
276	C₄×C₇×Q₈	—	2	1	no	—
277	C₄×C₇×Q₈	—	2	1	no	—
278	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
279	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
280	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
281	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
282	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
283	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
284	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
285	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
286	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
287	C₄×C₇×D₄	—	2	1	no	—
288	C₄×C₇×D₄	—	2	1	no	—
289	C₄×C₇×D₄	—	2	1	no	—
290	C₄×C₇×D₄	—	2	1	no	—
291	C₄×C₇×D₄	—	2	1	no	—
292	C₄×C₇×D₄	—	2	1	no	—
293	C₄×C₇×D₄	—	2	1	no	—
294	C₄×C₇×D₄	—	2	1	no	—
295	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
296	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
297	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
298	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
299	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
300	C₇×#117	—	2	1	no	—
301	C₇×#117	—	2	1	no	—
302	C₇×#117	—	2	1	no	—
303	C₇×#117	—	2	1	no	—
304	C₇×#117	—	2	1	no	—
305	C₇×#117	—	2	1	no	—
306	C₇×#117	C₂³	1	1	yes	characteristic
307	C₇×#117	C₂³	1	1	yes	characteristic
308	C₇×#117	C₂³	1	1	yes	characteristic
309	C₂×C₇×C₄⋊C₄	—	2	1	no	—
310	C₂×C₇×C₄⋊C₄	—	2	1	no	—
311	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₄²×C₇	—	2	1	no	—
314	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
315	#6513	—	4	2	no	—
316	#6512	—	4	2	no	—
317	#6510	—	2	1	no	—
318	C₂×#1144	C₂³	1	1	yes	characteristic
319	C₂×#1144	C₂³	1	1	yes	characteristic
320	C₂×#1144	C₂³	1	1	yes	characteristic
321	#6505	—	4	2	no	—
322	C₂×#1143	—	4	2	no	—
323	C₂×#1143	—	4	2	no	—
324	C₂×#1143	—	4	2	no	—
325	C₂×#1143	C₂³	1	1	yes	characteristic
326	C₂×#1143	C₂³	1	1	yes	characteristic
327	C₂×#1143	C₂³	1	1	yes	characteristic
328	C₂×#1143	C₂³	1	1	yes	characteristic
329	C₂×#1143	C₂³	1	1	yes	characteristic
330	C₂×#1143	C₂³	1	1	yes	characteristic
331	C₂×#1143	C₂³	1	1	yes	characteristic
332	C₂×#1143	C₂³	1	1	yes	characteristic
333	C₂×#1143	C₂³	1	1	yes	characteristic
334	C₂×#1143	C₂³	1	1	yes	characteristic
335	C₂×#1143	C₂³	1	1	yes	characteristic
336	C₂×#1143	C₂³	1	1	yes	characteristic
337	C₂×#1143	C₂³	1	1	yes	characteristic
338	C₂×#1143	C₂³	1	1	yes	characteristic
339	C₂×#1143	C₂³	1	1	yes	characteristic
340	#6503	—	2	1	no	—
341	#6500	—	2	1	no	—
342	#6500	—	2	1	no	—
343	C₂×#1142	C₂³	1	1	yes	characteristic
344	C₂×#1141	C₂³	1	1	yes	characteristic
345	C₂×#1141	C₂³	1	1	yes	characteristic
346	C₂×#1141	C₂³	1	1	yes	characteristic
347	C₂×#1141	C₂³	1	1	yes	characteristic
348	C₂×#1141	C₂³	1	1	yes	characteristic
349	#6493	C₂³	1	1	yes	characteristic
350	#6493	C₂³	1	1	yes	characteristic
351	#6493	C₂³	1	1	yes	characteristic
352	#6493	C₂³	1	1	yes	characteristic
353	#6493	C₂³	1	1	yes	characteristic
354	#6492	—	2	1	no	—
355	C₄×C₂²⋊D₇	—	2	1	no	—
356	#6487	C₂³	1	1	yes	characteristic
357	C₂×#1136	C₂³	1	1	yes	characteristic
358	C₂×#1136	C₂³	1	1	yes	characteristic
359	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
360	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
361	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
362	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
363	#6458	—	2	1	no	—
364	#6458	—	2	1	no	—
365	#6458	—	2	1	no	—
366	#6458	—	2	1	no	—
367	#6458	—	2	1	no	—
368	#6458	—	2	1	no	—
369	#6458	—	2	1	no	—
370	#6458	—	2	1	no	—
371	#6458	—	2	1	no	—
372	#6458	—	2	1	no	—
373	#6457	—	2	1	no	—
374	#6457	—	2	1	no	—
375	#6457	—	2	1	no	—
376	#6457	—	2	1	no	—
377	#6457	—	2	1	no	—
378	#6457	—	2	1	no	—
379	#6457	—	2	1	no	—
380	#6457	—	2	1	no	—
381	#6456	—	2	1	no	—
382	#6456	—	2	1	no	—
383	#6447	—	2	1	no	—
384	#6447	—	2	1	no	—
385	#6447	—	2	1	no	—
386	#6447	—	2	1	no	—
387	#6447	—	2	1	no	—
388	#6447	—	2	1	no	—
389	#6447	—	2	1	no	—
390	#6447	—	2	1	no	—
391	#6445	—	2	1	no	—
392	#6445	—	2	1	no	—
393	#6445	—	2	1	no	—
394	#6445	—	2	1	no	—
395	#6445	—	2	1	no	—
396	#6445	—	2	1	no	—
397	#6445	—	2	1	no	—
398	#6445	—	2	1	no	—
399	#6445	—	2	1	no	—
400	#6445	—	2	1	no	—
401	D₇×C₂²⋊C₄	—	2	1	no	—
402	D₇×C₂²⋊C₄	—	2	1	no	—
403	#6439	—	2	1	no	—
404	#6438	C₂³	1	1	yes	characteristic
405	#6438	C₂³	1	1	yes	characteristic
406	#6438	C₂³	1	1	yes	characteristic
407	#6437	—	2	1	no	—
408	#6437	—	2	1	no	—
409	#6437	C₂³	1	1	yes	characteristic
410	#6437	C₂³	1	1	yes	characteristic
411	#6437	C₂³	1	1	yes	characteristic
412	#6437	C₂³	1	1	yes	characteristic
413	#6437	C₂³	1	1	yes	characteristic
414	#6437	C₂³	1	1	yes	characteristic
415	C₄×D₂₈	C₂³	1	1	yes	characteristic
416	C₄×D₂₈	C₂³	1	1	yes	characteristic
417	C₄×D₂₈	C₂³	1	1	yes	characteristic
418	C₄×D₂₈	C₂³	1	1	yes	characteristic
419	C₄×D₂₈	C₂³	1	1	yes	characteristic
420	#6435	—	2	1	no	—
421	#6433	C₂³	1	1	yes	characteristic
422	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
423	#6409	C₂³	1	1	yes	characteristic
424	#6409	C₂³	1	1	yes	characteristic
425	#6409	C₂³	1	1	yes	characteristic
426	#6409	C₂³	1	1	yes	characteristic
427	#6409	C₂³	1	1	yes	characteristic
428	#6409	C₂³	1	1	yes	characteristic
429	#6406	C₂³	1	1	yes	characteristic
430	#6406	C₂³	1	1	yes	characteristic
431	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
432	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
433	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
434	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
435	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
436	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
437	#6384	C₂³	1	1	yes	characteristic
438	#6384	C₂³	1	1	yes	characteristic
439	#6384	C₂³	1	1	yes	characteristic
440	#6384	C₂³	1	1	yes	characteristic
441	#6383	C₂³	1	1	yes	characteristic
442	#6383	C₂³	1	1	yes	characteristic
443	#6383	C₂³	1	1	yes	characteristic
444	#6383	C₂³	1	1	yes	characteristic
445	#6383	C₂³	1	1	yes	characteristic
446	#6383	C₂³	1	1	yes	characteristic
447	#6383	C₂³	1	1	yes	characteristic
448	#6383	C₂³	1	1	yes	characteristic
449	#6383	C₂³	1	1	yes	characteristic
450	#6383	C₂³	1	1	yes	characteristic
451	#6383	C₂³	1	1	yes	characteristic
452	#6383	C₂³	1	1	yes	characteristic
453	#6383	C₂³	1	1	yes	characteristic
454	#6383	C₂³	1	1	yes	characteristic
455	#6383	C₂³	1	1	yes	characteristic
456	#6383	C₂³	1	1	yes	characteristic
457	#6383	C₂³	1	1	yes	characteristic
458	#6383	C₂³	1	1	yes	characteristic
459	#6383	C₂³	1	1	yes	characteristic
460	#6383	C₂³	1	1	yes	characteristic
461	#6382	C₂³	1	1	yes	characteristic
462	#6382	C₂³	1	1	yes	characteristic
463	#6382	C₂³	1	1	yes	characteristic
464	#6382	C₂³	1	1	yes	characteristic
465	#6381	C₂³	1	1	yes	characteristic
466	#6381	C₂³	1	1	yes	characteristic
467	#6381	C₂³	1	1	yes	characteristic
468	#6381	C₂³	1	1	yes	characteristic
469	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
470	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
471	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
472	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
473	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
474	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
475	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
476	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
477	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
478	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
479	#6377	C₂³	1	1	yes	characteristic
480	#6377	C₂³	1	1	yes	characteristic
481	#6377	C₂³	1	1	yes	characteristic
482	#6377	C₂³	1	1	yes	characteristic
483	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
484	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
485	#3543	—	7	1	no	—
486	#3516	D₇	1	1	yes	characteristic, complemented
487	#3401	—	7	1	no	—
488	#3397	—	7	1	no	—
489	#3371	—	7	1	no	—
490	#3368	—	7	1	no	—
491	#3318	—	7	1	no	—
492	#3317	—	7	1	no	—
493	#3314	—	7	1	no	—
494	#3310	—	7	1	no	—
495	#3297	—	7	1	no	—
496	#3295	—	7	1	no	—
497	#3282	—	7	1	no	—
498	D₄×SD₁₆	—	7	1	no	—
499	#3271	—	7	1	no	—
500	#3266	—	7	1	no	—
501	#3265	—	7	1	no	—
502	#3265	—	7	1	no	—
503	#3260	—	7	1	no	—
504	#3257	—	7	1	no	—
505	#3250	—	7	1	no	—
506	#3224	—	7	1	no	—
507	#3222	—	7	1	no	—
508	#3217	—	7	1	no	—
509	#3126	—	7	1	no	—
510	#3119	—	7	1	no	—
511	#3117	—	7	1	no	—
512	#3045	—	7	1	no	—
513	#3043	—	7	1	no	—
514	C₂×#460	—	7	1	no	—
515	#2992	—	7	1	no	—
516	C₂³×D₇	—	2	1	no	—
517	C₂³×D₇	—	2	1	no	—
518	C₂³×D₇	—	2	1	no	—
519	C₂³×D₇	—	2	1	no	—
520	C₇×#41	—	2	2	no	—
521	C₇×#41	—	4	1	no	—
522	C₂×C₇×Q₈	—	2	1	no	—
523	C₂×C₇×Q₈	—	2	1	no	—
524	C₂×C₇×Q₈	—	2	1	no	—
525	C₂×C₇×Q₈	—	2	2	no	—
526	C₂×C₇×Q₈	—	2	2	no	—
527	C₂×C₇×Q₈	—	4	1	no	—
528	C₂×C₇×Q₈	—	4	1	no	—
529	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
530	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
531	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
532	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
533	C₂×C₇×D₄	—	2	1	no	—
534	C₂×C₇×D₄	—	2	1	no	—
535	C₂×C₇×D₄	—	2	1	no	—
536	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
537	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
538	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
539	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₇	—	2	1	no	—
541	C₂²×C₄×C₇	—	2	1	no	—
542	C₂²×C₄×C₇	—	2	1	no	—
543	C₂²×C₄×C₇	—	2	1	no	—
544	C₂²×C₄×C₇	—	2	1	no	—
545	C₂²×C₄×C₇	—	2	1	no	—
546	C₂²×C₄×C₇	—	2	1	no	—
547	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
548	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
549	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
552	C₂×C₂²⋊D₇	—	2	1	no	—
553	C₂×C₂²⋊D₇	—	2	1	no	—
554	C₂×C₂²⋊D₇	—	2	1	no	—
555	C₂×C₂²⋊D₇	—	2	1	no	—
556	C₂×C₂²⋊D₇	—	2	1	no	—
557	C₂×C₂²⋊D₇	—	2	1	no	—
558	C₂×C₂²⋊D₇	—	2	1	no	—
559	#1161	—	8	2	no	—
560	D₄×D₇	—	8	2	no	—
561	D₄×D₇	—	8	2	no	—
562	D₄×D₇	—	8	2	no	—
563	#1157	—	4	1	no	—
564	#1157	—	4	1	no	—
565	#1157	—	4	1	no	—
566	#1157	—	4	1	no	—
567	C₂×D₂₈	—	2	1	no	—
568	C₂×D₂₈	—	2	1	no	—
569	C₂×D₂₈	—	2	1	no	—
570	C₂×D₂₈	—	2	1	no	—
571	C₂×D₂₈	—	2	1	no	—
572	C₂×D₂₈	—	2	1	no	—
573	C₂×D₂₈	—	2	1	no	—
574	C₂×D₂₈	—	2	1	no	—
575	C₂×D₂₈	—	2	1	no	—
576	C₂×D₂₈	—	2	1	no	—
577	C₂×D₂₈	—	2	1	no	—
578	C₂×D₂₈	—	2	1	no	—
579	C₂×D₂₈	—	2	1	no	—
580	C₂×D₂₈	—	2	1	no	—
581	C₂×D₂₈	—	2	1	no	—
582	C₂×D₂₈	—	2	1	no	—
583	C₂×D₂₈	—	4	1	no	—
584	C₂×D₂₈	—	4	1	no	—
585	C₂×D₂₈	—	4	1	no	—
586	C₂×D₂₈	—	4	1	no	—
587	C₂×D₂₈	—	4	1	no	—
588	C₂×D₂₈	—	4	1	no	—
589	C₂×D₂₈	—	4	1	no	—
590	C₂×D₂₈	—	4	1	no	—
591	C₂×D₂₈	—	8	2	no	—
592	C₂×D₂₈	—	8	2	no	—
593	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
594	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
595	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
596	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
597	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
598	C₂×C₄×D₇	—	2	1	no	—
599	C₂×C₄×D₇	—	2	1	no	—
600	C₂×C₄×D₇	—	2	1	no	—
601	C₂×C₄×D₇	—	2	1	no	—
602	C₂×C₄×D₇	—	2	1	no	—
603	C₂×C₄×D₇	—	2	1	no	—
604	C₂×C₄×D₇	—	2	1	no	—
605	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
606	C₇×C₄⋊C₄	—	2	1	no	—
607	C₇×C₄⋊C₄	—	2	1	no	—
608	C₇×C₄⋊C₄	—	2	1	no	—
609	C₇×C₄⋊C₄	—	2	1	no	—
610	C₇×C₄⋊C₄	—	2	1	no	—
611	C₇×C₄⋊C₄	—	2	1	no	—
612	C₇×C₄⋊C₄	—	2	1	no	—
613	C₇×C₄⋊C₄	—	2	1	no	—
614	C₇×C₄⋊C₄	—	2	1	no	—
615	C₇×C₄⋊C₄	—	2	1	no	—
616	C₇×C₄⋊C₄	—	2	1	no	—
617	C₇×C₄⋊C₄	—	2	1	no	—
618	C₇×C₄⋊C₄	—	2	1	no	—
619	C₇×C₄⋊C₄	—	2	1	no	—
620	C₇×C₄⋊C₄	—	2	1	no	—
621	C₇×C₄⋊C₄	—	2	1	no	—
622	C₇×C₄⋊C₄	—	2	1	no	—
623	C₇×C₄⋊C₄	—	2	1	no	—
624	C₇×C₄⋊C₄	—	2	1	no	—
625	C₇×C₄⋊C₄	—	2	1	no	—
626	C₇×C₄⋊C₄	—	2	1	no	—
627	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
628	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
629	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
630	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
631	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
632	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
633	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
634	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
635	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
636	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
638	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
639	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
640	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
641	C₇×C₂²⋊C₄	—	2	1	no	—
642	C₇×C₂²⋊C₄	—	2	1	no	—
643	C₇×C₂²⋊C₄	—	2	1	no	—
644	C₇×C₂²⋊C₄	—	2	1	no	—
645	C₇×C₂²⋊C₄	—	2	1	no	—
646	C₇×C₂²⋊C₄	—	2	1	no	—
647	C₇×C₂²⋊C₄	—	2	1	no	—
648	C₇×C₂²⋊C₄	—	2	1	no	—
649	C₇×C₂²⋊C₄	—	2	1	no	—
650	C₇×C₂²⋊C₄	—	2	1	no	—
651	C₇×C₂²⋊C₄	—	2	1	no	—
652	C₇×C₂²⋊C₄	—	2	1	no	—
653	C₇×C₂²⋊C₄	—	2	1	no	—
654	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
655	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
656	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
657	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
658	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
659	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
660	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
661	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
662	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
663	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
664	C₄²×C₇	—	2	1	no	—
665	C₄²×C₇	—	2	1	no	—
666	C₄²×C₇	—	2	1	no	—
667	C₄²×C₇	—	2	1	no	—
668	C₄²×C₇	—	2	1	no	—
669	C₄²×C₇	—	2	1	no	—
670	C₄²×C₇	—	2	1	no	—
671	C₄²×C₇	—	2	1	no	—
672	C₄²×C₇	—	2	1	no	—
673	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
674	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
675	C₄²×C₇	C₂⁴	1	1	yes	characteristic
676	C₄²×C₇	C₂⁴	1	1	yes	characteristic
677	C₄²×C₇	C₂⁴	1	1	yes	characteristic
678	C₄²×C₇	C₂⁴	1	1	yes	characteristic
679	C₂²⋊Dic₇	—	2	1	no	—
680	#1144	—	2	2	no	—
681	#1144	—	4	1	no	—
682	#1144	—	4	1	no	—
683	#1143	—	2	2	no	—
684	#1143	—	2	2	no	—
685	#1143	—	2	2	no	—
686	#1143	—	2	2	no	—
687	#1143	—	2	2	no	—
688	#1143	—	4	1	no	—
689	#1143	—	4	1	no	—
690	#1143	—	4	1	no	—
691	#1143	—	4	1	no	—
692	#1143	—	4	1	no	—
693	#1143	—	4	1	no	—
694	#1143	—	4	1	no	—
695	#1143	—	4	1	no	—
696	#1143	—	4	1	no	—
697	#1143	—	4	1	no	—
698	#1142	—	4	1	no	—
699	#1141	—	4	1	no	—
700	#1141	—	4	1	no	—
701	#1141	—	4	1	no	—
702	#1141	—	4	1	no	—
703	#1141	—	4	1	no	—
704	(C₂×D₇)⋊C₄	—	2	1	no	—
705	(C₂×D₇)⋊C₄	—	2	1	no	—
706	(C₂×D₇)⋊C₄	—	2	1	no	—
707	(C₂×D₇)⋊C₄	—	2	1	no	—
708	(C₂×D₇)⋊C₄	—	2	1	no	—
709	(C₂×D₇)⋊C₄	—	2	1	no	—
710	(C₂×D₇)⋊C₄	—	2	1	no	—
711	(C₂×D₇)⋊C₄	—	2	1	no	—
712	(C₂×D₇)⋊C₄	—	2	1	no	—
713	(C₂×D₇)⋊C₄	—	2	1	no	—
714	(C₂×D₇)⋊C₄	—	2	1	no	—
715	(C₂×D₇)⋊C₄	—	2	1	no	—
716	(C₂×D₇)⋊C₄	—	2	1	no	—
717	(C₂×D₇)⋊C₄	—	2	1	no	—
718	(C₂×D₇)⋊C₄	—	2	1	no	—
719	(C₂×D₇)⋊C₄	—	2	1	no	—
720	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
721	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
722	Dic₇⋊C₄	—	2	1	no	—
723	Dic₇⋊C₄	—	2	1	no	—
724	Dic₇⋊C₄	—	2	1	no	—
725	Dic₇⋊C₄	—	2	1	no	—
726	C₄×Dic₇	—	2	1	no	—
727	#1136	—	4	1	no	—
728	#1136	—	4	1	no	—
729	C₂×C₇⋊C₈	—	4	1	no	—
730	C₂×C₇⋊C₈	—	4	1	no	—
731	C₂×C₇⋊C₈	—	4	1	no	—
732	C₂×C₇⋊C₈	—	4	1	no	—
733	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
734	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
735	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
736	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
737	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
738	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
739	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
740	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
741	C₂×#137	—	7	1	no	—
742	C₂×AGL(1,ℤ/8)	—	7	1	no	—
743	C₂×#135	—	7	1	no	—
744	C₂²×SD₁₆	—	7	1	no	—
745	C₂²×SD₁₆	—	7	1	no	—
746	C₂²×SD₁₆	—	7	1	no	—
747	#560	—	14	1	no	—
748	#560	—	14	1	no	—
749	#559	—	7	1	no	—
750	#557	C₂×D₇	1	1	yes	characteristic, complemented
751	#556	—	2	1	no	—
752	#556	C₂×D₇	1	1	yes	characteristic, complemented
753	#554	—	2	1	no	—
754	#554	C₂×D₇	1	1	yes	characteristic, complemented
755	#553	—	2	1	no	—
756	#553	C₂×D₇	1	1	yes	characteristic, complemented
757	#552	—	2	1	no	—
758	#552	C₂×D₇	1	1	yes	characteristic, complemented
759	#550	—	7	1	no	—
760	#550	—	7	1	no	—
761	D₄×Q₈	C₂×D₇	1	1	yes	characteristic, complemented
762	#548	C₂×D₇	1	1	yes	characteristic, complemented
763	#548	C₂×D₇	1	1	yes	characteristic, complemented
764	#546	—	7	1	no	—
765	#546	—	7	1	no	—
766	#546	—	14	1	no	—
767	D₄²	—	7	1	no	—
768	D₄²	—	7	1	no	—
769	D₄²	—	7	1	no	—
770	D₄²	—	14	1	no	—
771	#542	—	2	1	no	—
772	#542	C₂×D₇	1	1	yes	characteristic, complemented
773	#541	—	2	1	no	—
774	#541	C₂×D₇	1	1	yes	characteristic, complemented
775	#540	—	7	1	no	—
776	#540	—	7	1	no	—
777	#540	—	14	1	no	—
778	#535	—	7	1	no	—
779	#535	—	7	1	no	—
780	#535	—	14	1	no	—
781	#534	—	14	1	no	—
782	#534	—	14	1	no	—
783	C₂×#127	—	7	1	no	—
784	#529	—	2	1	no	—
785	#529	—	2	1	no	—
786	#529	—	7	1	no	—
787	#529	C₂×D₇	1	1	yes	characteristic
788	#529	C₂×D₇	1	1	yes	characteristic, complemented
789	#520	C₂×D₇	1	1	yes	characteristic, complemented
790	#519	C₂×D₇	1	1	yes	characteristic, complemented
791	C₂×C₄×Q₈	C₂×D₇	1	1	yes	characteristic, complemented
792	#497	—	7	1	no	—
793	#496	—	7	1	no	—
794	#496	—	7	1	no	—
795	#496	—	7	1	no	—
796	#495	—	7	1	no	—
797	#492	—	7	1	no	—
798	#490	—	7	1	no	—
799	#490	—	7	1	no	—
800	#490	—	7	1	no	—
801	#489	—	7	1	no	—
802	#488	—	7	1	no	—
803	#486	—	7	1	no	—
804	#484	—	7	1	no	—
805	#482	—	7	1	no	—
806	#482	—	7	1	no	—
807	#481	—	7	1	no	—
808	#481	—	7	1	no	—
809	#480	—	7	1	no	—
810	#479	—	7	1	no	—
811	#479	—	7	1	no	—
812	#479	—	7	1	no	—
813	#479	—	7	1	no	—
814	#478	—	7	1	no	—
815	#478	—	7	1	no	—
816	#478	—	7	1	no	—
817	#478	—	7	1	no	—
818	#476	—	7	1	no	—
819	#474	—	7	1	no	—
820	#469	—	7	1	no	—
821	#468	—	7	1	no	—
822	#468	—	7	1	no	—
823	#468	—	7	1	no	—
824	#467	—	7	1	no	—
825	#466	—	7	1	no	—
826	#466	—	7	1	no	—
827	#465	—	7	1	no	—
828	#465	—	7	1	no	—
829	#465	—	7	1	no	—
830	#465	—	7	1	no	—
831	#465	—	7	1	no	—
832	#464	—	7	1	no	—
833	#464	—	7	1	no	—
834	#464	—	7	1	no	—
835	#464	—	7	1	no	—
836	#464	—	7	1	no	—
837	#464	—	7	1	no	—
838	#464	—	7	1	no	—
839	#463	—	7	1	no	—
840	#463	—	7	1	no	—
841	#463	—	7	1	no	—
842	#463	—	7	1	no	—
843	#463	—	7	1	no	—
844	#461	—	7	1	no	—
845	#461	—	7	1	no	—
846	#460	—	7	1	no	—
847	#460	—	7	1	no	—
848	#460	—	7	1	no	—
849	#460	—	7	1	no	—
850	#460	—	7	1	no	—
851	#460	—	7	1	no	—
852	#460	—	7	1	no	—
853	#460	—	7	1	no	—
854	#460	—	7	1	no	—
855	#460	—	7	1	no	—
856	#460	—	7	1	no	—
857	#460	—	7	1	no	—
858	#460	—	7	1	no	—
859	#459	—	7	1	no	—
860	#459	—	7	1	no	—
861	#459	—	7	1	no	—
862	#452	—	7	1	no	—
863	#452	—	7	1	no	—
864	#452	—	7	1	no	—
865	#451	—	7	1	no	—
866	#450	—	7	1	no	—
867	#450	—	7	1	no	—
868	#450	—	7	1	no	—
869	#450	—	7	1	no	—
870	#450	—	7	1	no	—
871	#449	—	7	1	no	—
872	#449	—	7	1	no	—
873	#449	—	7	1	no	—
874	#448	—	7	1	no	—
875	#448	—	7	1	no	—
876	#448	—	7	1	no	—
877	#447	—	7	1	no	—
878	#447	—	7	1	no	—
879	#447	—	7	1	no	—
880	#446	—	7	1	no	—
881	#446	—	7	1	no	—
882	#442	—	7	1	no	—
883	#441	—	7	1	no	—
884	#441	—	7	1	no	—
885	#440	—	7	1	no	—
886	#440	—	7	1	no	—
887	#440	—	7	1	no	—
888	#440	—	7	1	no	—
889	#440	—	7	1	no	—
890	C₄×SD₁₆	—	7	1	no	—
891	C₄×SD₁₆	—	7	1	no	—
892	C₄×SD₁₆	—	7	1	no	—
893	C₄×D₈	—	7	1	no	—
894	#435	—	7	1	no	—
895	#435	—	7	1	no	—
896	#435	—	7	1	no	—
897	#435	—	7	1	no	—
898	C₈×D₄	—	7	1	no	—
899	C₈×D₄	—	7	1	no	—
900	#433	—	7	1	no	—
901	#433	—	7	1	no	—
902	#432	—	7	1	no	—
903	#424	—	7	1	no	—
904	#424	—	7	1	no	—
905	C₂×C₄⋊C₈	—	7	1	no	—
906	#418	—	7	1	no	—
907	#417	—	7	1	no	—
908	#416	—	7	1	no	—
909	C₂×#102	—	7	1	no	—
910	C₂×#102	—	7	1	no	—
911	C₂×#102	—	7	1	no	—
912	C₂³×C₇	—	2	1	no	—
913	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
914	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
915	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
916	C₂²×D₇	—	2	1	no	—
917	C₂²×D₇	—	2	1	no	—
918	C₂²×D₇	—	2	1	no	—
919	C₂²×D₇	—	2	1	no	—
920	C₂²×D₇	—	2	1	no	—
921	C₂²×D₇	—	4	2	no	—
922	C₂²×D₇	—	4	2	no	—
923	C₂²×D₇	—	8	1	no	—
924	C₂²×D₇	—	8	1	no	—
925	C₂²×D₇	—	8	1	no	—
926	C₂²×D₇	—	8	1	no	—
927	C₂²×D₇	—	8	1	no	—
928	C₂²×D₇	—	8	1	no	—
929	C₂²×D₇	—	8	1	no	—
930	C₂²×D₇	—	8	1	no	—
931	C₂²×D₇	—	8	1	no	—
932	C₂²×D₇	—	8	1	no	—
933	C₇×Q₈	—	2	1	no	—
934	C₇×Q₈	—	2	1	no	—
935	C₇×Q₈	—	2	1	no	—
936	C₇×Q₈	—	2	1	no	—
937	C₇×Q₈	—	2	1	no	—
938	C₇×Q₈	—	4	1	no	—
939	C₇×Q₈	—	4	2	no	—
940	C₇×Q₈	—	4	2	no	—
941	C₇×Q₈	—	8	1	no	—
942	C₇×Q₈	H(5,𝔽₂)	1	2	yes	—
943	C₇×D₄	—	2	2	no	—
944	C₇×D₄	—	2	2	no	—
945	C₇×D₄	—	2	1	no	—
946	C₇×D₄	—	2	1	no	—
947	C₇×D₄	—	4	1	no	—
948	C₇×D₄	—	4	2	no	—
949	C₇×D₄	—	4	2	no	—
950	C₇×D₄	—	8	1	no	—
951	C₂×C₄×C₇	—	2	2	no	—
952	C₂×C₄×C₇	—	2	1	no	—
953	C₂×C₄×C₇	—	2	1	no	—
954	C₂×C₄×C₇	—	2	1	no	—
955	C₂×C₄×C₇	—	2	1	no	—
956	C₂×C₄×C₇	—	2	1	no	—
957	C₂×C₄×C₇	—	2	1	no	—
958	C₂×C₄×C₇	—	2	1	no	—
959	C₂×C₄×C₇	—	2	1	no	—
960	C₂×C₄×C₇	—	2	1	no	—
961	C₂×C₄×C₇	—	2	1	no	—
962	C₂×C₄×C₇	—	2	1	no	—
963	C₂×C₄×C₇	—	2	1	no	—
964	C₂×C₄×C₇	—	2	1	no	—
965	C₂×C₄×C₇	—	4	1	no	—
966	C₂×C₄×C₇	—	4	2	no	—
967	C₂×C₄×C₇	—	4	2	no	—
968	C₂×C₄×C₇	—	4	2	no	—
969	C₂×C₄×C₇	—	8	1	no	—
970	C₂×C₄×C₇	—	8	1	no	—
971	C₂×C₄×C₇	—	8	1	no	—
972	C₂×C₄×C₇	—	8	1	no	—
973	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
974	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
975	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
976	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
977	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
978	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
979	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
980	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
981	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
982	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
983	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
984	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
985	C₂²⋊D₇	—	4	2	no	—
986	C₂²⋊D₇	—	8	1	no	—
987	C₂²⋊D₇	—	8	1	no	—
988	C₂²⋊D₇	—	8	1	no	—
989	C₂²⋊D₇	—	8	1	no	—
990	C₂²⋊D₇	—	8	1	no	—
991	C₂²⋊D₇	—	8	1	no	—
992	C₂×Dic₇	—	2	1	no	—
993	C₂×Dic₇	—	2	1	no	—
994	C₂×Dic₇	—	2	1	no	—
995	D₂₈	—	2	1	no	—
996	D₂₈	—	2	1	no	—
997	D₂₈	—	2	1	no	—
998	D₂₈	—	2	1	no	—
999	D₂₈	—	2	1	no	—
1000	D₂₈	—	2	1	no	—
1001	D₂₈	—	2	1	no	—
1002	D₂₈	—	2	1	no	—
1003	D₂₈	—	2	1	no	—
1004	D₂₈	—	2	1	no	—
1005	D₂₈	—	4	2	no	—
1006	D₂₈	—	4	2	no	—
1007	D₂₈	—	8	1	no	—
1008	D₂₈	—	8	1	no	—
1009	D₂₈	—	8	1	no	—
1010	D₂₈	—	8	1	no	—
1011	D₂₈	—	8	1	no	—
1012	D₂₈	—	8	1	no	—
1013	D₂₈	—	8	1	no	—
1014	D₂₈	—	8	1	no	—
1015	D₂₈	—	8	1	no	—
1016	D₂₈	—	8	1	no	—
1017	D₂₈	—	8	1	no	—
1018	D₂₈	—	8	1	no	—
1019	D₂₈	—	8	1	no	—
1020	D₂₈	—	8	1	no	—
1021	C₄×D₇	—	4	2	no	—
1022	C₄×D₇	—	8	1	no	—
1023	C₄×D₇	—	8	1	no	—
1024	C₄×D₇	—	8	1	no	—
1025	C₄×D₇	—	8	1	no	—
1026	C₄×D₇	—	8	1	no	—
1027	C₄×D₇	—	8	1	no	—
1028	Dic₁₄	—	2	1	no	—
1029	Dic₁₄	—	2	1	no	—
1030	C₇⋊C₈	—	2	1	no	—
1031	C₇⋊C₈	—	2	1	no	—
1032	C₇⋊C₈	—	2	1	no	—
1033	C₇⋊C₈	—	2	1	no	—
1034	C₇⋊C₈	—	2	1	no	—
1035	C₇⋊C₈	—	2	1	no	—
1036	C₇⋊C₈	—	2	1	no	—
1037	C₇⋊C₈	—	2	1	no	—
1038	C₂×#41	—	7	1	no	—
1039	C₂×#41	—	7	1	no	—
1040	C₂×#41	—	14	1	no	—
1041	C₂×#41	C₂²×D₇	1	1	yes	characteristic
1042	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
1043	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
1044	C₂²×D₄	—	7	1	no	—
1045	C₂²×D₄	—	7	1	no	—
1046	C₂²×D₄	—	7	1	no	—
1047	C₂²×D₄	—	7	1	no	—
1048	C₂²×D₄	—	14	1	no	—
1049	C₂²×D₄	—	14	1	no	—
1050	C₂²×D₄	—	14	1	no	—
1051	C₂²×D₄	—	14	1	no	—
1052	C₂²×D₄	—	14	1	no	—
1053	#137	—	28	2	no	—
1054	AGL(1,ℤ/8)	—	28	2	no	—
1055	#135	—	28	2	no	—
1056	C₂×Q₁₆	—	7	1	no	—
1057	C₂×Q₁₆	—	7	1	no	—
1058	C₂×Q₁₆	—	7	1	no	—
1059	C₂×SD₁₆	—	7	1	no	—
1060	C₂×SD₁₆	—	7	1	no	—
1061	C₂×SD₁₆	—	7	1	no	—
1062	C₂×SD₁₆	—	7	1	no	—
1063	C₂×SD₁₆	—	7	1	no	—
1064	C₂×SD₁₆	—	7	1	no	—
1065	C₂×SD₁₆	—	7	1	no	—
1066	C₂×SD₁₆	—	7	1	no	—
1067	C₂×SD₁₆	—	7	1	no	—
1068	C₂×SD₁₆	—	7	1	no	—
1069	C₂×SD₁₆	—	7	1	no	—
1070	C₂×SD₁₆	—	7	1	no	—
1071	C₂×SD₁₆	—	7	1	no	—
1072	C₂×SD₁₆	—	7	1	no	—
1073	C₂×SD₁₆	—	7	1	no	—
1074	C₂×SD₁₆	—	7	1	no	—
1075	C₂×SD₁₆	—	28	2	no	—
1076	C₂×SD₁₆	—	28	2	no	—
1077	C₂×SD₁₆	—	28	2	no	—
1078	C₂×D₈	—	7	1	no	—
1079	C₂×D₈	—	7	1	no	—
1080	C₂×D₈	—	7	1	no	—
1081	C₂×D₈	—	7	1	no	—
1082	C₂×D₈	—	7	1	no	—
1083	C₂×M₁₆	—	7	1	no	—
1084	C₂×M₁₆	—	7	1	no	—
1085	C₂²×C₈	—	7	1	no	—
1086	C₂²×C₈	—	7	1	no	—
1087	C₂²×C₈	—	7	1	no	—
1088	C₂²×C₈	—	7	1	no	—
1089	C₄⋊Q₈	—	2	1	no	—
1090	C₄⋊Q₈	—	2	1	no	—
1091	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1092	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1093	#127	—	7	1	no	—
1094	#127	—	7	1	no	—
1095	#127	—	7	1	no	—
1096	#127	—	7	1	no	—
1097	#127	—	7	1	no	—
1098	#127	—	7	1	no	—
1099	#127	—	14	1	no	—
1100	#127	—	14	1	no	—
1101	#127	—	14	1	no	—
1102	#126	—	2	1	no	—
1103	#126	—	2	1	no	—
1104	#126	—	2	1	no	—
1105	#126	—	2	1	no	—
1106	#126	—	2	1	no	—
1107	#126	—	2	1	no	—
1108	#126	—	2	1	no	—
1109	#126	—	2	1	no	—
1110	#126	—	14	1	no	—
1111	#126	C₂²⋊D₇	1	1	yes	characteristic
1112	#126	C₂²⋊D₇	1	1	yes	characteristic
1113	#125	—	2	1	no	—
1114	#125	—	2	1	no	—
1115	#125	—	2	1	no	—
1116	#125	—	2	1	no	—
1117	#125	—	2	1	no	—
1118	#125	—	2	1	no	—
1119	#125	—	7	1	no	—
1120	#125	C₂²⋊D₇	1	1	yes	characteristic
1121	#125	C₂²×D₇	1	1	yes	characteristic
1122	#125	C₂²×D₇	1	1	yes	characteristic
1123	#124	—	2	1	no	—
1124	#124	—	2	1	no	—
1125	#124	—	2	1	no	—
1126	#124	—	7	1	no	—
1127	#124	—	7	1	no	—
1128	#124	—	7	1	no	—
1129	#124	—	14	1	no	—
1130	#124	C₂²⋊D₇	1	1	yes	characteristic
1131	#124	C₂²×D₇	1	1	yes	characteristic
1132	#124	C₂²×D₇	1	1	yes	characteristic
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	14	1	no	—
1138	#123	—	14	1	no	—
1139	#123	—	14	1	no	—
1140	#123	—	14	1	no	—
1141	#123	—	14	1	no	—
1142	#123	—	14	1	no	—
1143	#123	—	14	1	no	—
1144	#123	—	14	1	no	—
1145	#123	—	14	1	no	—
1146	#123	C₂²⋊D₇	1	1	yes	characteristic
1147	#123	C₂²⋊D₇	1	1	yes	characteristic
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	—	2	1	no	—
1152	C₂²⋊Q₈	—	2	1	no	—
1153	C₂²⋊Q₈	—	2	1	no	—
1154	C₂²⋊Q₈	—	2	1	no	—
1155	C₂²⋊Q₈	—	2	1	no	—
1156	C₂²⋊Q₈	—	7	1	no	—
1157	C₂²⋊Q₈	C₂²⋊D₇	1	1	yes	characteristic
1158	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1159	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1160	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1161	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	—	7	1	no	—
1166	#121	—	7	1	no	—
1167	#121	—	7	1	no	—
1168	#121	—	7	1	no	—
1169	#121	—	7	1	no	—
1170	#121	—	14	1	no	—
1171	#121	—	14	1	no	—
1172	#121	—	14	1	no	—
1173	#121	—	14	1	no	—
1174	#121	—	14	1	no	—
1175	#121	—	14	1	no	—
1176	#121	—	14	1	no	—
1177	#121	—	14	1	no	—
1178	#121	—	14	1	no	—
1179	#121	—	14	1	no	—
1180	#121	—	14	1	no	—
1181	#121	—	14	1	no	—
1182	#121	—	14	1	no	—
1183	#121	—	14	1	no	—
1184	#121	—	14	1	no	—
1185	#121	—	14	1	no	—
1186	#121	—	14	1	no	—
1187	#121	—	14	1	no	—
1188	#121	C₂²⋊D₇	1	1	yes	characteristic
1189	#121	C₂²×D₇	1	1	yes	characteristic
1190	#121	C₂²×D₇	1	1	yes	characteristic
1191	#120	—	14	1	no	—
1192	#120	—	14	1	no	—
1193	#120	—	14	1	no	—
1194	#120	—	14	1	no	—
1195	#120	—	14	1	no	—
1196	#120	—	14	1	no	—
1197	#120	—	14	1	no	—
1198	#120	—	14	1	no	—
1199	#120	—	14	1	no	—
1200	#120	—	14	1	no	—
1201	#120	—	14	1	no	—
1202	#120	—	14	1	no	—
1203	C₄×Q₈	—	2	1	no	—
1204	C₄×Q₈	—	2	1	no	—
1205	C₄×Q₈	—	2	1	no	—
1206	C₄×Q₈	—	2	1	no	—
1207	C₄×Q₈	—	2	1	no	—
1208	C₄×Q₈	—	7	1	no	—
1209	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1210	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1211	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1212	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1213	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1214	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1215	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1216	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1217	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1218	C₄×D₄	—	2	1	no	—
1219	C₄×D₄	—	2	1	no	—
1220	C₄×D₄	—	2	1	no	—
1221	C₄×D₄	—	2	1	no	—
1222	C₄×D₄	—	2	1	no	—
1223	C₄×D₄	—	2	1	no	—
1224	C₄×D₄	—	2	1	no	—
1225	C₄×D₄	—	2	1	no	—
1226	C₄×D₄	—	7	1	no	—
1227	C₄×D₄	—	7	1	no	—
1228	C₄×D₄	—	7	1	no	—
1229	C₄×D₄	—	7	1	no	—
1230	C₄×D₄	—	7	1	no	—
1231	C₄×D₄	—	14	1	no	—
1232	C₄×D₄	—	14	1	no	—
1233	C₄×D₄	—	14	1	no	—
1234	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1235	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1236	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1237	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1238	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1239	#117	—	2	1	no	—
1240	#117	—	2	1	no	—
1241	#117	—	2	1	no	—
1242	#117	—	2	1	no	—
1243	#117	—	2	1	no	—
1244	#117	—	2	1	no	—
1245	#117	—	14	1	no	—
1246	#117	C₂²×D₇	1	1	yes	characteristic
1247	#117	C₂²×D₇	1	1	yes	characteristic
1248	#117	C₂²×D₇	1	1	yes	characteristic
1249	C₂×C₄⋊C₄	—	2	1	no	—
1250	C₂×C₄⋊C₄	—	2	1	no	—
1251	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1252	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1253	C₂×C₂²⋊C₄	—	14	1	no	—
1254	C₂×C₂²⋊C₄	—	14	1	no	—
1255	C₂×C₄²	—	2	1	no	—
1256	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1257	#107	—	7	1	no	—
1258	#107	—	7	1	no	—
1259	#107	—	7	1	no	—
1260	#107	—	7	1	no	—
1261	#106	—	7	1	no	—
1262	#106	—	7	1	no	—
1263	#106	—	7	1	no	—
1264	#106	—	7	1	no	—
1265	C₄⋊C₈	—	7	1	no	—
1266	C₄⋊C₈	—	7	1	no	—
1267	C₄⋊C₈	—	7	1	no	—
1268	C₄⋊C₈	—	7	1	no	—
1269	C₄⋊C₈	—	7	1	no	—
1270	C₄⋊C₈	—	7	1	no	—
1271	C₄⋊C₈	—	7	1	no	—
1272	C₄⋊C₈	—	7	1	no	—
1273	C₄⋊C₈	—	7	1	no	—
1274	C₄⋊C₈	—	7	1	no	—
1275	#103	—	7	1	no	—
1276	#103	—	7	1	no	—
1277	#103	—	7	1	no	—
1278	#103	—	7	1	no	—
1279	#103	—	7	1	no	—
1280	#103	—	7	1	no	—
1281	#103	—	7	1	no	—
1282	#103	—	7	1	no	—
1283	#103	—	7	1	no	—
1284	#103	—	7	1	no	—
1285	#102	—	7	1	no	—
1286	#102	—	7	1	no	—
1287	#102	—	7	1	no	—
1288	#102	—	7	1	no	—
1289	#102	—	7	1	no	—
1290	#102	—	7	1	no	—
1291	#102	—	7	1	no	—
1292	#102	—	7	1	no	—
1293	#102	—	7	1	no	—
1294	#102	—	7	1	no	—
1295	#102	—	7	1	no	—
1296	#102	—	7	1	no	—
1297	#102	—	7	1	no	—
1298	#102	—	7	1	no	—
1299	#102	—	7	1	no	—
1300	#102	—	7	1	no	—
1301	#102	—	7	1	no	—
1302	#102	—	7	1	no	—
1303	#102	—	7	1	no	—
1304	#102	—	7	1	no	—
1305	#102	—	7	1	no	—
1306	#102	—	7	1	no	—
1307	C₂²⋊C₈	—	7	1	no	—
1308	C₂²⋊C₈	—	7	1	no	—
1309	C₂²⋊C₈	—	7	1	no	—
1310	C₂²⋊C₈	—	7	1	no	—
1311	C₂²⋊C₈	—	7	1	no	—
1312	C₂²⋊C₈	—	7	1	no	—
1313	#97	—	7	1	no	—
1314	#97	—	7	1	no	—
1315	#97	—	7	1	no	—
1316	#97	—	7	1	no	—
1317	C₄×C₈	—	7	1	no	—
1318	C₄×C₈	—	7	1	no	—
1319	C₂²×C₇	—	2	1	no	—
1320	C₂²×C₇	—	2	1	no	—
1321	C₂²×C₇	—	2	1	no	—
1322	C₂²×C₇	—	2	1	no	—
1323	C₂²×C₇	—	2	1	no	—
1324	C₂²×C₇	—	2	1	no	—
1325	C₂²×C₇	—	2	1	no	—
1326	C₂²×C₇	—	2	1	no	—
1327	C₂²×C₇	—	4	1	no	—
1328	C₂²×C₇	—	4	1	no	—
1329	C₂²×C₇	—	4	1	no	—
1330	C₂²×C₇	#577	1	2	yes	—
1331	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1332	C₂×D₇	—	4	1	no	—
1333	C₂×D₇	—	4	1	no	—
1334	C₂×D₇	—	4	1	no	—
1335	C₂×D₇	—	4	1	no	—
1336	C₂×D₇	—	4	1	no	—
1337	C₂×D₇	—	4	1	no	—
1338	C₂×D₇	—	4	1	no	—
1339	C₂×D₇	—	4	1	no	—
1340	C₂×D₇	—	4	1	no	—
1341	C₂×D₇	—	4	1	no	—
1342	C₂×D₇	—	4	1	no	—
1343	C₂×D₇	—	4	1	no	—
1344	C₂×D₇	—	4	1	no	—
1345	C₂×D₇	—	4	1	no	—
1346	C₂×D₇	—	4	1	no	—
1347	C₂×D₇	—	16	2	no	—
1348	C₂×D₇	—	16	2	no	—
1349	C₂×D₇	—	16	2	no	—
1350	C₂×D₇	—	16	2	no	—
1351	C₄×C₇	—	2	1	no	—
1352	C₄×C₇	—	2	1	no	—
1353	C₄×C₇	—	2	1	no	—
1354	C₄×C₇	—	2	1	no	—
1355	C₄×C₇	—	2	1	no	—
1356	C₄×C₇	—	2	1	no	—
1357	C₄×C₇	—	2	1	no	—
1358	C₄×C₇	—	2	2	no	—
1359	C₄×C₇	—	2	1	no	—
1360	C₄×C₇	—	2	1	no	—
1361	C₄×C₇	—	2	1	no	—
1362	C₄×C₇	—	2	1	no	—
1363	C₄×C₇	—	4	1	no	—
1364	C₄×C₇	—	4	1	no	—
1365	C₄×C₇	—	4	1	no	—
1366	C₄×C₇	—	4	1	no	—
1367	C₄×C₇	—	4	1	no	—
1368	C₄×C₇	—	4	1	no	—
1369	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1370	C₄×C₇	#585	1	1	yes	characteristic
1371	Dic₇	—	4	1	no	—
1372	Dic₇	—	4	1	no	—
1373	Dic₇	—	4	1	no	—
1374	C₂⁴	—	14	1	no	—
1375	C₂⁴	—	14	1	no	—
1376	C₂⁴	—	14	1	no	—
1377	C₂⁴	—	14	1	no	—
1378	#41	—	2	2	no	—
1379	#41	—	4	1	no	—
1380	#41	—	28	1	no	—
1381	#41	—	28	1	no	—
1382	#41	—	28	1	no	—
1383	#41	—	28	1	no	—
1384	#41	—	56	2	no	—
1385	C₂×Q₈	—	2	1	no	—
1386	C₂×Q₈	—	2	1	no	—
1387	C₂×Q₈	—	2	1	no	—
1388	C₂×Q₈	—	2	2	no	—
1389	C₂×Q₈	—	2	2	no	—
1390	C₂×Q₈	—	4	1	no	—
1391	C₂×Q₈	—	4	1	no	—
1392	C₂×Q₈	—	7	1	no	—
1393	C₂×Q₈	C₂×C₂²⋊D₇	1	1	yes	characteristic
1394	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1395	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1396	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1397	C₂×D₄	—	2	1	no	—
1398	C₂×D₄	—	2	1	no	—
1399	C₂×D₄	—	2	1	no	—
1400	C₂×D₄	—	7	1	no	—
1401	C₂×D₄	—	7	1	no	—
1402	C₂×D₄	—	7	1	no	—
1403	C₂×D₄	—	7	1	no	—
1404	C₂×D₄	—	7	1	no	—
1405	C₂×D₄	—	14	1	no	—
1406	C₂×D₄	—	14	1	no	—
1407	C₂×D₄	—	14	1	no	—
1408	C₂×D₄	—	14	1	no	—
1409	C₂×D₄	—	14	1	no	—
1410	C₂×D₄	—	14	1	no	—
1411	C₂×D₄	—	14	1	no	—
1412	C₂×D₄	—	14	1	no	—
1413	C₂×D₄	—	14	1	no	—
1414	C₂×D₄	—	14	1	no	—
1415	C₂×D₄	—	14	1	no	—
1416	C₂×D₄	—	14	1	no	—
1417	C₂×D₄	—	14	1	no	—
1418	C₂×D₄	—	14	1	no	—
1419	C₂×D₄	—	14	1	no	—
1420	C₂×D₄	—	14	1	no	—
1421	C₂×D₄	—	14	1	no	—
1422	C₂×D₄	—	14	1	no	—
1423	C₂×D₄	—	14	1	no	—
1424	C₂×D₄	—	14	1	no	—
1425	C₂×D₄	—	14	1	no	—
1426	C₂×D₄	—	14	1	no	—
1427	C₂×D₄	—	14	1	no	—
1428	C₂×D₄	—	28	1	no	—
1429	C₂×D₄	—	28	1	no	—
1430	C₂×D₄	—	28	1	no	—
1431	C₂×D₄	—	28	1	no	—
1432	C₂×D₄	—	28	1	no	—
1433	C₂×D₄	—	28	1	no	—
1434	C₂×D₄	—	28	1	no	—
1435	C₂×D₄	—	28	1	no	—
1436	C₂×D₄	—	56	2	no	—
1437	C₂×D₄	—	56	2	no	—
1438	C₂×D₄	—	56	2	no	—
1439	C₂×D₄	—	56	2	no	—
1440	C₂×D₄	—	56	2	no	—
1441	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1442	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1443	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1444	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1445	C₂²×C₄	—	2	1	no	—
1446	C₂²×C₄	—	2	1	no	—
1447	C₂²×C₄	—	2	1	no	—
1448	C₂²×C₄	—	2	1	no	—
1449	C₂²×C₄	—	2	1	no	—
1450	C₂²×C₄	—	2	1	no	—
1451	C₂²×C₄	—	2	1	no	—
1452	C₂²×C₄	—	14	1	no	—
1453	C₂²×C₄	—	14	1	no	—
1454	C₂²×C₄	—	14	1	no	—
1455	C₂²×C₄	—	14	1	no	—
1456	C₂²×C₄	—	14	1	no	—
1457	C₂²×C₄	—	14	1	no	—
1458	C₂²×C₄	—	14	1	no	—
1459	C₂²×C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1460	C₂²×C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1461	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1462	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1463	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1464	Q₁₆	—	14	2	no	—
1465	Q₁₆	—	28	1	no	—
1466	Q₁₆	—	28	1	no	—
1467	SD₁₆	—	14	2	no	—
1468	SD₁₆	—	14	2	no	—
1469	SD₁₆	—	14	2	no	—
1470	SD₁₆	—	14	2	no	—
1471	SD₁₆	—	14	2	no	—
1472	SD₁₆	—	28	1	no	—
1473	SD₁₆	—	28	1	no	—
1474	SD₁₆	—	28	1	no	—
1475	SD₁₆	—	28	1	no	—
1476	SD₁₆	—	28	1	no	—
1477	SD₁₆	—	28	1	no	—
1478	SD₁₆	—	28	1	no	—
1479	SD₁₆	—	28	1	no	—
1480	SD₁₆	—	28	1	no	—
1481	SD₁₆	—	28	1	no	—
1482	SD₁₆	—	28	1	no	—
1483	D₈	—	28	1	no	—
1484	D₈	—	28	1	no	—
1485	D₈	—	28	1	no	—
1486	D₈	—	28	1	no	—
1487	D₈	—	28	1	no	—
1488	M₁₆	—	28	1	no	—
1489	M₁₆	—	28	1	no	—
1490	C₂×C₈	—	7	1	no	—
1491	C₂×C₈	—	7	1	no	—
1492	C₂×C₈	—	7	1	no	—
1493	C₂×C₈	—	7	1	no	—
1494	C₂×C₈	—	7	1	no	—
1495	C₂×C₈	—	7	1	no	—
1496	C₂×C₈	—	7	1	no	—
1497	C₂×C₈	—	7	1	no	—
1498	C₂×C₈	—	28	1	no	—
1499	C₂×C₈	—	28	1	no	—
1500	C₂×C₈	—	28	1	no	—
1501	C₂×C₈	—	28	1	no	—
1502	C₄⋊C₄	—	2	1	no	—
1503	C₄⋊C₄	—	2	1	no	—
1504	C₄⋊C₄	—	2	1	no	—
1505	C₄⋊C₄	—	2	1	no	—
1506	C₄⋊C₄	—	2	1	no	—
1507	C₄⋊C₄	—	2	1	no	—
1508	C₄⋊C₄	—	2	1	no	—
1509	C₄⋊C₄	—	2	1	no	—
1510	C₄⋊C₄	—	2	1	no	—
1511	C₄⋊C₄	—	2	1	no	—
1512	C₄⋊C₄	—	2	1	no	—
1513	C₄⋊C₄	—	2	1	no	—
1514	C₄⋊C₄	—	2	1	no	—
1515	C₄⋊C₄	—	2	1	no	—
1516	C₄⋊C₄	—	2	1	no	—
1517	C₄⋊C₄	—	2	1	no	—
1518	C₄⋊C₄	—	2	1	no	—
1519	C₄⋊C₄	—	2	1	no	—
1520	C₄⋊C₄	—	2	1	no	—
1521	C₄⋊C₄	—	2	1	no	—
1522	C₄⋊C₄	—	2	1	no	—
1523	C₄⋊C₄	—	7	1	no	—
1524	C₄⋊C₄	—	7	1	no	—
1525	C₄⋊C₄	—	14	1	no	—
1526	C₄⋊C₄	—	14	1	no	—
1527	C₄⋊C₄	—	14	1	no	—
1528	C₄⋊C₄	—	14	1	no	—
1529	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1530	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1531	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1532	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1533	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1534	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1535	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1536	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1537	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1538	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1539	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1540	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1541	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1542	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	14	1	no	—
1557	C₂²⋊C₄	—	14	1	no	—
1558	C₂²⋊C₄	—	14	1	no	—
1559	C₂²⋊C₄	—	14	1	no	—
1560	C₂²⋊C₄	—	14	1	no	—
1561	C₂²⋊C₄	—	14	1	no	—
1562	C₂²⋊C₄	—	14	1	no	—
1563	C₂²⋊C₄	—	14	1	no	—
1564	C₂²⋊C₄	—	14	1	no	—
1565	C₂²⋊C₄	—	14	1	no	—
1566	C₂²⋊C₄	—	14	1	no	—
1567	C₂²⋊C₄	—	14	1	no	—
1568	C₂²⋊C₄	—	14	1	no	—
1569	C₂²⋊C₄	—	14	1	no	—
1570	C₂²⋊C₄	—	14	1	no	—
1571	C₂²⋊C₄	—	14	1	no	—
1572	C₂²⋊C₄	—	14	1	no	—
1573	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1574	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1575	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1576	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1577	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1578	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1579	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1580	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1581	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1582	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1583	C₄²	—	2	1	no	—
1584	C₄²	—	2	1	no	—
1585	C₄²	—	2	1	no	—
1586	C₄²	—	2	1	no	—
1587	C₄²	—	2	1	no	—
1588	C₄²	—	2	1	no	—
1589	C₄²	—	2	1	no	—
1590	C₄²	—	2	1	no	—
1591	C₄²	—	2	1	no	—
1592	C₄²	—	14	1	no	—
1593	C₄²	C₂×C₂²⋊D₇	1	1	yes	characteristic
1594	C₄²	C₂×C₂²⋊D₇	1	1	yes	characteristic
1595	C₄²	C₂³×D₇	1	1	yes	characteristic
1596	C₄²	C₂³×D₇	1	1	yes	characteristic
1597	C₄²	C₂³×D₇	1	1	yes	characteristic
1598	C₄²	C₂³×D₇	1	1	yes	characteristic
1599	C₂×C₇	—	2	2	no	—
1600	C₂×C₇	—	4	1	no	—
1601	C₂×C₇	—	4	1	no	—
1602	C₂×C₇	—	8	1	no	—
1603	C₂×C₇	#3488	1	1	yes	characteristic
1604	C₂×C₇	C₂×#577	1	1	yes	characteristic
1605	C₂×C₇	#3585	1	1	yes	characteristic
1606	D₇	—	8	1	no	—
1607	D₇	—	8	1	no	—
1608	D₇	—	8	1	no	—
1609	D₇	—	8	1	no	—
1610	D₇	—	8	1	no	—
1611	C₂³	—	2	1	no	—
1612	C₂³	—	14	1	no	—
1613	C₂³	—	14	1	no	—
1614	C₂³	—	14	1	no	—
1615	C₂³	—	14	1	no	—
1616	C₂³	—	14	1	no	—
1617	C₂³	—	28	2	no	—
1618	C₂³	—	28	2	no	—
1619	C₂³	—	56	1	no	—
1620	C₂³	—	56	1	no	—
1621	C₂³	—	56	1	no	—
1622	C₂³	—	56	1	no	—
1623	C₂³	—	56	1	no	—
1624	C₂³	—	56	1	no	—
1625	C₂³	—	56	1	no	—
1626	C₂³	—	56	1	no	—
1627	C₂³	—	56	1	no	—
1628	C₂³	—	56	1	no	—
1629	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1630	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1631	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1632	Q₈	—	2	1	no	—
1633	Q₈	—	2	1	no	—
1634	Q₈	—	2	1	no	—
1635	Q₈	—	2	1	no	—
1636	Q₈	—	2	1	no	—
1637	Q₈	—	4	1	no	—
1638	Q₈	—	4	2	no	—
1639	Q₈	—	4	2	no	—
1640	Q₈	—	8	1	no	—
1641	Q₈	—	14	1	no	—
1642	Q₈	—	14	1	no	—
1643	Q₈	#6553	1	2	yes	—
1644	D₄	—	2	2	no	—
1645	D₄	—	2	2	no	—
1646	D₄	—	2	1	no	—
1647	D₄	—	2	1	no	—
1648	D₄	—	4	1	no	—
1649	D₄	—	4	2	no	—
1650	D₄	—	4	2	no	—
1651	D₄	—	8	1	no	—
1652	D₄	—	14	1	no	—
1653	D₄	—	14	1	no	—
1654	D₄	—	14	1	no	—
1655	D₄	—	14	1	no	—
1656	D₄	—	14	1	no	—
1657	D₄	—	14	1	no	—
1658	D₄	—	14	1	no	—
1659	D₄	—	14	1	no	—
1660	D₄	—	14	1	no	—
1661	D₄	—	14	1	no	—
1662	D₄	—	28	2	no	—
1663	D₄	—	28	2	no	—
1664	D₄	—	28	2	no	—
1665	D₄	—	56	1	no	—
1666	D₄	—	56	1	no	—
1667	D₄	—	56	1	no	—
1668	D₄	—	56	1	no	—
1669	D₄	—	56	1	no	—
1670	D₄	—	56	1	no	—
1671	D₄	—	56	1	no	—
1672	D₄	—	56	1	no	—
1673	D₄	—	56	1	no	—
1674	D₄	—	56	1	no	—
1675	D₄	—	56	1	no	—
1676	D₄	—	56	1	no	—
1677	D₄	—	56	1	no	—
1678	D₄	—	56	1	no	—
1679	D₄	—	56	1	no	—
1680	D₄	—	56	1	no	—
1681	D₄	—	56	1	no	—
1682	D₄	—	56	1	no	—
1683	D₄	—	56	1	no	—
1684	D₄	—	56	1	no	—
1685	C₂×C₄	—	2	2	no	—
1686	C₂×C₄	—	2	1	no	—
1687	C₂×C₄	—	2	1	no	—
1688	C₂×C₄	—	2	1	no	—
1689	C₂×C₄	—	2	1	no	—
1690	C₂×C₄	—	2	1	no	—
1691	C₂×C₄	—	2	1	no	—
1692	C₂×C₄	—	2	1	no	—
1693	C₂×C₄	—	2	1	no	—
1694	C₂×C₄	—	2	1	no	—
1695	C₂×C₄	—	2	1	no	—
1696	C₂×C₄	—	2	1	no	—
1697	C₂×C₄	—	2	1	no	—
1698	C₂×C₄	—	2	1	no	—
1699	C₂×C₄	—	4	1	no	—
1700	C₂×C₄	—	4	2	no	—
1701	C₂×C₄	—	4	2	no	—
1702	C₂×C₄	—	4	2	no	—
1703	C₂×C₄	—	8	1	no	—
1704	C₂×C₄	—	8	1	no	—
1705	C₂×C₄	—	8	1	no	—
1706	C₂×C₄	—	8	1	no	—
1707	C₂×C₄	—	14	1	no	—
1708	C₂×C₄	—	14	1	no	—
1709	C₂×C₄	—	14	1	no	—
1710	C₂×C₄	—	28	2	no	—
1711	C₂×C₄	—	56	1	no	—
1712	C₂×C₄	—	56	1	no	—
1713	C₂×C₄	—	56	1	no	—
1714	C₂×C₄	—	56	1	no	—
1715	C₂×C₄	—	56	1	no	—
1716	C₂×C₄	—	56	1	no	—
1717	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1718	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1719	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1720	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1721	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1722	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1723	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1724	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1725	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1726	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1727	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1728	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1729	C₈	—	14	1	no	—
1730	C₈	—	14	1	no	—
1731	C₈	—	14	1	no	—
1732	C₈	—	14	1	no	—
1733	C₈	—	14	1	no	—
1734	C₈	—	14	1	no	—
1735	C₈	—	14	1	no	—
1736	C₈	—	14	1	no	—
1737	C₇	#62009	1	1	yes	characteristic, complemented, Sylow
1738	C₂²	—	2	1	no	—
1739	C₂²	—	2	1	no	—
1740	C₂²	—	2	1	no	—
1741	C₂²	—	2	1	no	—
1742	C₂²	—	2	1	no	—
1743	C₂²	—	2	1	no	—
1744	C₂²	—	2	1	no	—
1745	C₂²	—	2	1	no	—
1746	C₂²	—	4	1	no	—
1747	C₂²	—	4	1	no	—
1748	C₂²	—	4	1	no	—
1749	C₂²	—	28	1	no	—
1750	C₂²	—	28	1	no	—
1751	C₂²	—	28	1	no	—
1752	C₂²	—	28	1	no	—
1753	C₂²	—	28	1	no	—
1754	C₂²	—	28	1	no	—
1755	C₂²	—	28	1	no	—
1756	C₂²	—	28	1	no	—
1757	C₂²	—	28	1	no	—
1758	C₂²	—	28	1	no	—
1759	C₂²	—	28	1	no	—
1760	C₂²	—	28	1	no	—
1761	C₂²	—	28	1	no	—
1762	C₂²	—	28	1	no	—
1763	C₂²	—	28	1	no	—
1764	C₂²	—	112	2	no	—
1765	C₂²	—	112	2	no	—
1766	C₂²	—	112	2	no	—
1767	C₂²	—	112	2	no	—
1768	C₂²	#90528	1	2	yes	—
1769	C₂²	C₂³×C₂²⋊D₇	1	1	yes	characteristic
1770	C₄	—	2	1	no	—
1771	C₄	—	2	1	no	—
1772	C₄	—	2	1	no	—
1773	C₄	—	2	2	no	—
1774	C₄	—	2	1	no	—
1775	C₄	—	2	1	no	—
1776	C₄	—	2	1	no	—
1777	C₄	—	2	1	no	—
1778	C₄	—	2	1	no	—
1779	C₄	—	2	1	no	—
1780	C₄	—	2	1	no	—
1781	C₄	—	2	1	no	—
1782	C₄	—	4	1	no	—
1783	C₄	—	4	1	no	—
1784	C₄	—	4	1	no	—
1785	C₄	—	4	1	no	—
1786	C₄	—	4	1	no	—
1787	C₄	—	4	1	no	—
1788	C₄	—	28	1	no	—
1789	C₄	—	28	1	no	—
1790	C₄	—	28	1	no	—
1791	C₄	C₂×#6553	1	1	yes	characteristic
1792	C₄	#90616	1	1	yes	characteristic
1793	C₂	—	2	2	no	—
1794	C₂	—	4	1	no	—
1795	C₂	—	4	1	no	—
1796	C₂	—	8	1	no	—
1797	C₂	—	56	1	no	—
1798	C₂	—	56	1	no	—
1799	C₂	—	56	1	no	—
1800	C₂	—	56	1	no	—
1801	C₂	—	56	1	no	—
1802	C₂	#11744343	1	1	yes	characteristic
1803	C₂	C₂×#90528	1	1	yes	characteristic
1804	C₂	#11744366	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₇
commutator, cosocle	C₂×C₄×C₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇
Fitting	C₇×#3516	C₂
socle	C₂²×C₇	C₂³×D₄
hypercenter	#3516	D₇
hypocenter	C₇	#62009
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3516

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₇×#3516	C₂	semidirect
2. #11743240	C₂	semidirect
3. #11741136	C₂	semidirect
4. #11741135	C₂	semidirect
5. #11741117	C₂	semidirect
6. #11741116	C₂	semidirect
7. #11741080	C₂	semidirect
8. #11741079	C₂	semidirect
9. #11741061	C₂	semidirect
10. #11741059	C₂	semidirect
11. #11741049	C₂	semidirect
12. #11741044	C₂	semidirect
13. D₄×#1143	C₂	semidirect
14. #11741004	C₂	semidirect
15. #11740992	C₂	semidirect
16. #11740990	C₂	semidirect
17. #11740987	C₂	semidirect
18. #11740987	C₂	semidirect
19. #11740910	C₂	semidirect
20. #11740908	C₂	semidirect
21. #11740895	C₂	semidirect
22. #11740893	C₂	semidirect
23. #11740594	C₂	semidirect
24. #11740591	C₂	semidirect
25. #11740575	C₂	semidirect
26. #11740013	C₂	semidirect
27. #11740010	C₂	semidirect
28. #11739998	C₂	semidirect
29. #11739996	C₂	semidirect
30. #11739890	C₂	semidirect
31. C₂×#89799	C₂	semidirect
32. C₇×#557	C₂²	semidirect
34. C₇×#556	C₂²	semidirect
36. C₇×#554	C₂²	semidirect
38. C₇×#553	C₂²	semidirect
40. C₇×#552	C₂²	semidirect
41. C₇×D₄×Q₈	C₂²	semidirect
42. C₇×#548	C₂²	semidirect
43. C₇×#548	C₂²	semidirect
45. C₇×#542	C₂²	semidirect
47. C₇×#541	C₂²	semidirect
51. C₇×#529	C₂²	semidirect
52. C₇×#520	C₂²	semidirect
53. C₇×#519	C₂²	semidirect
54. C₂×C₄×C₇×Q₈	C₂²	semidirect
55. C₂×#6513	C₂²	semidirect
56. C₂×#6512	C₂²	semidirect
57. C₂×#6505	C₂²	semidirect
58. C₂²×#1143	C₂²	semidirect
59. C₂²×#1143	C₂²	semidirect
60. C₂²×#1143	C₂²	semidirect
83. #90010	C₂²	semidirect
84. #90010	C₂²	semidirect
85. #90000	C₂²	semidirect
87. #89999	C₂²	semidirect
88. #89999	C₂²	semidirect
89. #89861	C₂²	semidirect
90. #89860	C₂²	semidirect
91. #89859	C₂²	semidirect
92. #89858	C₂²	semidirect
93. #89857	C₂²	semidirect
94. #89856	C₂²	semidirect
95. #89855	C₂²	semidirect
96. #89855	C₂²	semidirect
97. #89840	C₂²	semidirect
99. #89839	C₂²	semidirect
100. #89839	C₂²	semidirect
101. #89838	C₂²	semidirect
102. #89838	C₂²	semidirect
103. #89838	C₂²	semidirect
104. #89835	C₂²	semidirect
105. #89831	C₂²	semidirect
107. #89830	C₂²	semidirect
108. #89830	C₂²	semidirect
109. #89829	C₂²	semidirect
110. #89829	C₂²	semidirect
111. #89829	C₂²	semidirect
112. #89826	C₂²	semidirect
113. #89823	C₂²	semidirect
114. #89821	C₂²	semidirect
115. #89821	C₂²	semidirect
116. #89821	C₂²	semidirect
118. #89820	C₂²	semidirect
119. #89820	C₂²	semidirect
120. #89820	C₂²	semidirect
121. #89819	C₂²	semidirect
122. #89819	C₂²	semidirect
123. #89819	C₂²	semidirect
124. #89818	C₂²	semidirect
125. #89818	C₂²	semidirect
126. #89818	C₂²	semidirect
127. #89818	C₂²	semidirect
128. #89818	C₂²	semidirect
129. #89813	C₂²	semidirect
130. #89811	C₂²	semidirect
132. #89810	C₂²	semidirect
133. #89809	C₂²	semidirect
134. #89808	C₂²	semidirect
135. #89808	C₂²	semidirect
136. #89808	C₂²	semidirect
137. #89802	C₂²	semidirect
138. #89802	C₂²	semidirect
139. #89800	C₂²	semidirect
140. #89800	C₂²	semidirect
141. #89800	C₂²	semidirect
142. #89800	C₂²	semidirect
143. #89800	C₂²	semidirect
144. #89800	C₂²	semidirect
147. #89799	C₂²	semidirect
148. #89799	C₂²	semidirect
149. #89799	C₂²	semidirect
150. #89799	C₂²	semidirect
151. #89799	C₂²	semidirect
152. #89799	C₂²	semidirect
153. #89799	C₂²	semidirect
154. #89799	C₂²	semidirect
155. #89799	C₂²	semidirect
156. #89799	C₂²	semidirect
157. #89799	C₂²	semidirect
158. #89798	C₂²	semidirect
159. #89798	C₂²	semidirect
160. #89798	C₂²	semidirect
161. #89798	C₂²	semidirect
162. #89798	C₂²	semidirect
163. C₄×#1143	C₂²	semidirect
164. C₄×#1143	C₂²	semidirect
165. C₄×#1143	C₂²	semidirect
166. #89796	C₂²	semidirect
167. #89796	C₂²	semidirect
168. #89794	C₂²	semidirect
169. #89794	C₂²	semidirect
170. #89794	C₂²	semidirect
171. #89788	C₂²	semidirect
172. #89788	C₂²	semidirect
173. #89787	C₂²	semidirect
174. #89787	C₂²	semidirect
175. #89787	C₂²	semidirect
176. #89786	C₂²	semidirect
177. C₄×#1141	C₂²	semidirect
178. #89783	C₂²	semidirect
179. #89783	C₂²	semidirect
180. #89783	C₂²	semidirect
181. #89783	C₂²	semidirect
182. D₄×C₇⋊C₈	C₂²	semidirect
183. D₄×C₇⋊C₈	C₂²	semidirect
184. #89781	C₂²	semidirect
185. #89775	C₂²	semidirect
186. #89775	C₂²	semidirect
187. #89774	C₂²	semidirect
188. #89773	C₂²	semidirect
189. #89772	C₂²	semidirect
190. #89772	C₂²	semidirect
191. #89771	C₂²	semidirect
192. #89771	C₂²	semidirect
193. #89742	C₂²	semidirect
195. #89740	C₂²	semidirect
196. #89739	C₂²	semidirect
197. #89738	C₂²	semidirect
198. C₂×#6383	C₂²	semidirect
199. C₂×#6383	C₂²	semidirect
200. C₂×#6383	C₂²	semidirect
201. #89698	C₂²	semidirect
202. C₂×C₄⋊(C₇⋊C₈)	C₂²	semidirect
486. #3516	D₇	semidirect
750. #557	C₂×D₇	semidirect
752. #556	C₂×D₇	semidirect
754. #554	C₂×D₇	semidirect
756. #553	C₂×D₇	semidirect
758. #552	C₂×D₇	semidirect
761. D₄×Q₈	C₂×D₇	semidirect
762. #548	C₂×D₇	semidirect
763. #548	C₂×D₇	semidirect
772. #542	C₂×D₇	semidirect
774. #541	C₂×D₇	semidirect
788. #529	C₂×D₇	semidirect
789. #520	C₂×D₇	semidirect
790. #519	C₂×D₇	semidirect
791. C₂×C₄×Q₈	C₂×D₇	semidirect
1737. C₇	#62009	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₇×#3516	2
#11743240	2
#11741136	2
#11741135	2
#11741117	2
#11741116	2
#11741080	2
#11741079	2
#11741061	2
#11741059	2
#11741049	2
#11741044	2
D₄×#1143	2
#11741004	2
#11740992	2
#11740990	2
#11740987	2
#11740910	2
#11740908	2
#11740895	2
#11740893	2
#11740594	2
#11740591	2
#11740575	2
#11740013	2
#11740010	2
#11739998	2
#11739996	2
#11739890	2
C₂×#89799	2
#62009	7